9xy(x-y)(x+1)-3y(x-y)(3x+2y)+6y的平方(x-y)(x+1),因式分解

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9xy(x-y)(x+1)-3y(x-y)(3x+2y)+6y的平方(x-y)(x+1),因式分解9xy(x-y)(x+1)-3y(x-y)(3x+2y)+6y的平方(x-y)(x+1),因式分解9x

9xy(x-y)(x+1)-3y(x-y)(3x+2y)+6y的平方(x-y)(x+1),因式分解
9xy(x-y)(x+1)-3y(x-y)(3x+2y)+6y的平方(x-y)(x+1),因式分解

9xy(x-y)(x+1)-3y(x-y)(3x+2y)+6y的平方(x-y)(x+1),因式分解
第一项与第三项先合并
9xy(x-y)(x+1)-3y(x-y)(3x+2y)+6y^2*(x-y)(x+1)
=(x-y)(x+1)(9xy+6y^2)-3y(x-y)(3x+2y)
=(x-y)(x+1)(3x+2y)3y-3y(x-y)(3x+2y)
=3y(x-y)(3x+2y)(x+1-1)
=3xy(x-y)(3x+2y)

9xy(x-y)(x+1)-3y(x-y)(3x+2y)+6y的平方(x-y)(x+1)
=3y(x-y)[3x(x+1)-(3x+2y)+2y(x+1)]
=3y(x-y)(3x²+3x-3x-2y+2xy+2y)
=3y(x-y)(3x²+2xy)
=3xy(x-y)(3x+2y)